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68712900 = 223522271009
BaseRepresentation
bin1000001100001…
…11100111000100
311210021222101020
410012013213010
5120042303100
610452431140
71463023104
oct406074704
9153258336
1068712900
1135872023
121b0184b0
131130aa29
1491a9204
1560745a0
hex41879c4

68712900 has 72 divisors (see below), whose sum is σ = 199883040. Its totient is φ = 18224640.

The previous prime is 68712899. The next prime is 68712907. The reversal of 68712900 is 921786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68712907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67596 + ... + 68604.

Almost surely, 268712900 is an apocalyptic number.

68712900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68712900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99941520).

68712900 is an abundant number, since it is smaller than the sum of its proper divisors (131170140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68712900 is a wasteful number, since it uses less digits than its factorization.

68712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 68712900 is about 8289.3244598097. The cubic root of 68712900 is about 409.5869327827.

The spelling of 68712900 in words is "sixty-eight million, seven hundred twelve thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 227 300 454 681 908 1009 1135 1362 2018 2270 2724 3027 3405 4036 4540 5045 5675 6054 6810 10090 11350 12108 13620 15135 17025 20180 22700 25225 30270 34050 50450 60540 68100 75675 100900 151350 229043 302700 458086 687129 916172 1145215 1374258 2290430 2748516 3435645 4580860 5726075 6871290 11452150 13742580 17178225 22904300 34356450 68712900